Greatest Common Factor of 935/836, 792/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 935/836, 792/538

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 935/836,792/538

Given fractions are 935/836,792/538

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 935,792

Greatest Common Factor of Numerators i.e. GCF of 935,792 is 11 .

LCM of Denominators means LCM of 836,538 as per the given fractions.

LCM of 836,538 is 224884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 935,792

GCF of Fractions 935/836,792/538 is 11/224884

11 935, 792
85, 72

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 935,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,792 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 935,792 . The biggest common factor number is the GCF number.
So the greatest common factor 935,792 is 11.

Lets's calculate LCM of 836,538

2 836, 538
418, 269

∴ So the LCM of the given numbers is 2 x 418 x 269 = 224884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/224884

Therefore, the GCF of Fractions 935/836,792/538 is 11/224884

Least Common Multiple of 836,538 with GCF Formula

Least Common Multiple of 836,538 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 836,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,538) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(836,538) x common factors =2 x 1 = 2

LCM(836,538) = ( 836 × 538 ) / 2

LCM(836,538) = 449768 / 2

LCM(836,538) = 224884


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 935/836, 792/538

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 935/836, 792/538?

Answer: GCF of Numerators as per given numbers 935/836, 792/538 is

GCF of Numerators i.e. for 935,792 is 11

LCM of denominators i.e. for 836,538 is 224884.

Thus, GCF of Fractions is 11/224884.Finally, GCF of Fractions for 935/836, 792/538 is 11/224884.